Improved Nonlinear Analysis of a Propeller Blade Based on Hyper-Reduction

In this study, an improved nonlinear-analysis framework capable of predicting geometric nonlinearity and high-speed rotation in rotating structures was developed. A nonlinear time-transient simulation requires large computations owing to an iterative solution algorithm. To reduce the anticipated com...

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Bibliographic Details
Published in:AIAA journal 2022-03, Vol.60 (3), p.1909-1922
Main Authors: Kim, Yongse, Kang, Seung-Hoon, Cho, Haeseong, Shin, SangJoon
Format: Article
Language:English
Subjects:
Accuracy
Aerospace engineering
Algorithms
Computational efficiency
Computer simulation
Computing costs
Decomposition
Design optimization
Efficiency
Empirical analysis
Geometric nonlinearity
Interpolation
Iterative methods
Iterative solution
Model reduction
Nonlinear analysis
Propeller blades
Proper Orthogonal Decomposition
Reduced order models
Robustness (mathematics)
Simulation
Tensors
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Summary:In this study, an improved nonlinear-analysis framework capable of predicting geometric nonlinearity and high-speed rotation in rotating structures was developed. A nonlinear time-transient simulation requires large computations owing to an iterative solution algorithm. To reduce the anticipated computational cost, a proper orthogonal decomposition (POD)-based reduced-order modeling (ROM) combined with hyper-reduction is applied. To efficiently perform computations during the online stage, three hyper-reduction techniques were employed to approximate the nonlinear finite-element matrices: discrete empirical interpolation method (DEIM), Gauss–Newton with approximated tensors (GNAT), and energy-conserving sampling and weighting (ECSW). The present frameworks are applied to the time-transient simulation of a propeller, including parametric variations. Compared with the DEIM method, the GNAT and ECSW methods exhibited better enhancement of the accuracy and robustness of the reduced-order representation. Additionally, the computational efficiency of the ECSW method was improved significantly compared with that of other POD-based ROM approaches.
ISSN:0001-1452
1533-385X
DOI:10.2514/1.J060742